Bulg. J. Phys. vol.38 no.1 (2011), pp. 029-042

On Local Quantum Field Theory with a New Universal High Energy Scale

V.G. Kadyshevsky
Joint Institute for Nuclear Research, Dubna, R-141980, Russia
Abstract. The present paper is dedicated to the memory of Matey Mateev, a remarkable scientist and man, and a very dear friend of mine. On July 25, 2010 he and his wife Rumyana were tragically killed in a car accident near Sofia. Eternal memory for both of them...
For the first time I met Mag (under this name Matey was known to his relatives and friends) in 1966 in Yalta, where an International School on Theoretical Physics was held. A year later I was invited to ICTP, Trieste, where Mag had already been staying for several months. For about half a year we had intensively worked together on a three-dimensional formulation of a relativistic two-particle problem in quantum field theory (QFT). Since then, our scientific and friendly contacts had not been interrupted until his passing away.
In 1971, Mag, Rumyana and their son Dragomir came to Dubna and as it turned out for a pretty long time: until 1980. Mag organically fit into the scientific life of the Laboratory of Theoretical Physics, JINR and quickly gained credibility and respect of his colleagues. In 1980, he brilliantly defended the Doctor of Science dissertation that was devoted to the problem of construction of QFT containing a hypothetical universal parameter, the fundamental length. In the papers underlying the dissertation one could clearly see the author's adherence to the geometric scenario of the development and deepening of QFT. He believed that the theory based on the geometric principle had a real chance to be a logically consistent scheme. The Einstein heuristic formula
``Experiment = Geometry + Physics''

time and again appeared in our discussions, and Mag was convinced that this formula was true. In fact, our joined papers [1,2] on the formulation of the local QFT based on the de-Sitterian geometry of the momentum 4-space were written on Mag's initiative. These publications served as an impetus to a cycle of works [3-10]. In the present paper, I would like to resume some results and conclusions of papers [1-10] and thus pay tribute to Mag Mateev.

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